Question

Can someone help with this? I can't get it to work on my calculator. Simplify and rationalize the denominator the answer should not have negative exponents. Look at the picture.

Answer 1

`\frac{ {x}^{ (1)/(6) } }{ {x}^{ (2)/(3) } } = {x}^{ (1)/(6) - (4)/(6) } = {x}^{ - \frac {3}{6} } = \frac{1}{ {x}^{ (1)/(2) } } = (1)/( √(x) )`